Answer

$0.9358$

Work Step by Step

Using $\log_b a=\dfrac{\log a}{\log b}$ or the Change-of-Base Formula, the value of the given expression, $
\log_8 7
,$ to four decimal places is
\begin{array}{l}\require{cancel}
\dfrac{\log 7}{\log 8}
\\\\=
0.9358
.\end{array}